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Finding the Fourth Proportional to 19,809.90, 29,725.65 and 8,124.30

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Solution

The fourth proportional to 19,809.90, 29,725.65 and 8,124.30 is: 12,190.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,809.90 : 29,725.65 = 8,124.30 : x
  2. Step 2: Convert to fraction form
    19,809.90/29,725.65 = 8,124.30/x
  3. Step 3: Cross multiply
    19,809.90x = 29,725.65 × 8,124.30
  4. Step 4: Simplify right side
    19,809.90x = 241,500,098.30
  5. Step 5: Solve for x
    x = 241,500,098.30/19,809.90
  6. Step 6: Final answer
    x = 12,190.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.